Answer: 12 -8 = 4
Step-by-step explanation:
Solve:
"<span>twice the number minus three times the reciprocal of the number is equal to 1."
3(1)
Let the number be n. Then 2n - ------- = 1
n
Mult all 3 terms by n to elim. the fractions:
2n^2 - 3 = n. Rearranging this, we get 2n^2 - n - 3 = 0.
We need to find the roots (zeros or solutions) of this quadratic equation.
Here a=2, b= -1 and c= -3. Let's find the discriminant b^2-4ac first:
disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.
That's good, because 25 is a perfect square.
-(-1) plus or minus 5 1 plus or minus 5
Then x = ------------------------------ = --------------------------
2(2) 4
x could be 6/4 = 3/2, or -5/4.
You must check both answers in the original equation. If the equation is true for one or the other or for both, then you have found one or more solutions.</span>
Answer:
Step-by-step explanation:
Collect the like terms!
x-9x+8x+3-3
Now simplify,
-8x+8x+0
0+0
Answer = 0
Step-by-step explanation:
you move -5y to the other side.
25=-5y-3xsubtract 25 both sides
0=-5y-3x-25then add 5y both sides
5y=-3x-25divide 5 both sides
y=-3/5x-5
m=-3/5 do rise over runrise/run
b=(0,-5)plot it
3 down and 5 to right or 3 up and 5 left
